<div dir="ltr"><span class="gmail-im" style="color:rgb(80,0,80)"><div>Dear Colleagues!<br></div><br>You are cordially invited to the Weekly Online Seminar “Analysis and Applied Mathematics” on<br><br></span>Date: Tuesday, May 24, 2022<span class="gmail-im" style="color:rgb(80,0,80)"><br><br>Time: 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)<br><br>Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1<br><br></span>Speaker: Assoc. Prof. Dr. Maksim V. Kukushkin<br>Moscow State University of Civil Engineering, Moscow, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Russian Federation<div> Title: Natural lacunae method and Schatten-von Neumann classes of the convergence exponent<br> Abstract: The first aim is to clarify the results [1] obtained by Lidsky V.B. devoted to the decomposition of the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten-von Neumann class of the convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm, we construct a sequence of contours of the power type in contrast to the results of Lidsky V.B., where a sequence of contours of the exponential type was used. As an application, we study the Cauchy problems for the evolution equation in the abstract Hilbert space [2]. The made approach allows us to obtain a solution analytically for the right-hand side belonging to a sufficiently wide class of operators. In this regard such operators as the Riemann-Liouville fractional differential operator, the Riesz potential, the difference operator have been involved. Moreover, we produce the artificially constructed normal operator for which the clarification of the Lidsky results relevantly works.</div><div>References:<br>[1] Lidskii V.B. Summability of series in terms of the principal vectors of non-selfadjoint operators. Tr. Mosk. Mat. Obs., 11 (1962), 3-35.<br>[2] Kukushkin M.V. Evolution Equations in Hilbert Spaces via the Lacunae Method. arXiv, arXiv:2202.07338 [math.FA], <a href="https://doi.org/10.48550/arXiv.2202.07338" target="_blank">https://doi.org/10.48550/arXiv.2202.07338</a>.<span class="gmail-im" style="color:rgb(80,0,80)"><br><br>Abstracts and forthcoming talks can be found on our webpage<br><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br><br>Kind regards,</span></div><div><div dir="ltr" class="gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div style="font-size:12.8px"><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey</b></span><b style="font-size:12.8px"> and </b><b style="font-size:12.8px">Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey</b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@eng.bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p></div><div><a href="https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml" target="_blank">https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml</a><br></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></span></font></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div><br><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">---------- Forwarded message ---------<br>From: <strong class="gmail_sendername" dir="auto">Allaberen Ashyralyev</strong> <span dir="auto"><<a href="mailto:aallaberen@gmail.com">aallaberen@gmail.com</a>></span><br>Date: Wed, 18 May 2022 at 19:10<br>Subject: Re:<br>To: <<a href="mailto:kaan.kocabas@eng.bau.edu.tr">kaan.kocabas@eng.bau.edu.tr</a>>, Burcu GEBES <<a href="mailto:burcu.gebes@eng.bau.edu.tr">burcu.gebes@eng.bau.edu.tr</a>>, Nafiz ARICA <<a href="mailto:nafiz.arica@eng.bau.edu.tr">nafiz.arica@eng.bau.edu.tr</a>>, Süreyya Akyüz <<a href="mailto:sureyya.akyuz@eng.bau.edu.tr">sureyya.akyuz@eng.bau.edu.tr</a>>, Tunc BOZBURA <<a href="mailto:tunc.bozbura@eng.bau.edu.tr">tunc.bozbura@eng.bau.edu.tr</a>><br></div><br><br><div dir="ltr"><div>Haftaya seminar:</div>Dear Colleagues!<br><br>You are cordially invited to the Weekly Online Seminar “Analysis and Applied Mathematics” on<br><br>Date: Tuesday, May 24, 2022<br><br>Time: 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)<br><br>Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1<br><br>Speaker: Assoc. Prof. Dr. Maksim V. Kukushkin<br>Moscow State University of Civil Engineering, Moscow, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Russian Federation<div> Title: Natural lacunae method and Schatten-von Neumann classes of the convergence exponent<br> Abstract: The first aim is to clarify the results [1] obtained by Lidsky V.B. devoted to the decomposition of the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten-von Neumann class of the convergence exponent. Considering strictly accretive operators satisfying special conditions formulated in terms of the norm, we construct a sequence of contours of the power type in contrast to the results of Lidsky V.B., where a sequence of contours of the exponential type was used. As an application, we study the Cauchy problems for the evolution equation in the abstract Hilbert space [2]. The made approach allows us to obtain a solution analytically for the right-hand side belonging to a sufficiently wide class of operators. In this regard such operators as the Riemann-Liouville fractional differential operator, the Riesz potential, the difference operator have been involved. Moreover, we produce the artificially constructed normal operator for which the clarification of the Lidsky results relevantly works.</div><div>References:<br>[1] Lidskii V.B. Summability of series in terms of the principal vectors of non-selfadjoint operators. Tr. Mosk. Mat. Obs., 11 (1962), 3-35.<br>[2] Kukushkin M.V. Evolution Equations in Hilbert Spaces via the Lacunae Method. arXiv, arXiv:2202.07338 [math.FA], <a href="https://doi.org/10.48550/arXiv.2202.07338" target="_blank">https://doi.org/10.48550/arXiv.2202.07338</a>.<br><br>Abstracts and forthcoming talks can be found on our webpage<br><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br><br>Kind regards,</div><div><div dir="ltr" data-smartmail="gmail_signature"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div style="font-size:12.8px"><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey</b></span><b style="font-size:12.8px"> and </b><b style="font-size:12.8px">Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey</b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@eng.bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p></div><div><a href="https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml" target="_blank">https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml</a><br></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></span></font></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div><br></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Thu, 12 May 2022 at 11:50, Allaberen Ashyralyev <<a href="mailto:aallaberen@gmail.com" target="_blank">aallaberen@gmail.com</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex"><div dir="ltr"><div>Haftaya seminar:</div>Dear Colleagues!<br><br>You are cordially invited to the Weekly Online Seminar “Analysis and Applied Mathematics” on<br><br>Date: Tuesday, May 17, 2022<br><br>Time: 14.00-15.00 (Istanbul) = 13.00-14.00 (Ghent) = 17.00-18.00 (Almaty)<br><br>Zoom link: <a href="https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09" target="_blank">https://us02web.zoom.us/j/6678270445?pwd=SFNmQUIvT0tRaH-lDaVYrN3l5bzJVQT09</a>, Conference ID: 667 827 0445, Access code: 1<br><br>Speaker: Prof. Dr. Kairat Mynbaev<div><br>Kazakh-British Technical University, Almaty, Kazakhstan<br><br><br> Title: Weighted Hardy inequality on topological measure spaces<br><br> Abstract: The talk is about a multidimensional Hardy operator in weighted Lebesgue spaces. We describe the history of the subject, with emphasis on the recent results by Prokhorov, Stepanov and Ushakova (2018), Ruzhansky and Yessirkegenov (2019), Ruzhansky and Verma (2021) and Sinnamon (2022). We explain why the transition from one dimension to many dimensions took so long and what tools have been used by different authors. Then we report new results and share plans for future research.<br><br>Abstracts and forthcoming talks can be found on our webpage<br><br><br><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a><br><br>Kind regards,</div><div><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div dir="ltr"><div style="font-size:12.8px"><b style="font-size:12.8px">Prof. Dr. Allaberen Ashyralyev </b></div><div style="font-size:12.8px"><span style="font-size:small"><b>Department of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey</b></span><b style="font-size:12.8px"> and </b><b style="font-size:12.8px">Near East University, Lefkoşa(Nicosia), Mersin 10 Turkey</b></div><div><div style="font-size:12.8px"><span style="font-size:12.8px"><b>Peoples' Friendship University of Russia (RUDN University),</b></span><b style="color:rgb(51,51,51);font-family:arial,helvetica,sans-serif;font-size:13px"> Ul Miklukho Maklaya 6, Moscow 117198, Russian Federation </b></div><div style="font-size:12.8px"><b style="font-size:12.8px">Institute of Mathematics and Mathematical Modelling, 050010, Almaty, Kazakhstan</b></div><div style="font-size:12.8px"><b style="font-size:12.8px">e-mail: <a href="mailto:allaberen.ashyralyev@neu.edu.tr" style="color:rgb(17,85,204)" target="_blank">allaberen.ashyralyev@eng.bau.edu.tr</a> and </b><b style="font-size:12.8px"><a href="mailto:aallaberen@gmail.com" style="color:rgb(17,85,204)" target="_blank">aallaberen@gmail.com</a> </b></div><div style="font-size:12.8px"><b style="font-size:12.8px"> </b><a href="http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev" style="color:rgb(0,86,179);margin:0px;padding:0px;border:0px;font-stretch:inherit;font-size:14px;line-height:inherit;font-family:Roboto,sans-serif;vertical-align:baseline" target="_blank">http://akademik.bahcesehir.edu.tr/web/allaberenashyralyev</a></div><div><p class="MsoNormal"><a href="https://sites.google.com/view/aam-seminars" target="_blank">https://sites.google.com/view/aam-seminars</a></p></div><div><a href="https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml" target="_blank">https://content.sciendo.com/view/journals/ejaam/ejaam-overview.xml</a><br></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><u><a href="http://icaam-online.org" target="_blank">icaam-online.org</a></u></b></span></font></div></div><div><font color="#1155cc"><span style="font-size:12.8px"><b><a href="https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1" target="_blank">https://www.genealogy.math.ndsu.nodak.edu/id.php?id=95872&fChrono=1<br></a></b></span><br></font></div></div></div></div></div></div></div></div></div></div></div></div></div></div>
</blockquote></div>
</div></div>